The average student-loan debt is reported to be $25,235. A student believes that the student-loan debt is higher in her area. She takes a random sample of 100 college students in her area and determines the mean student-loan debt is $27,524 and the standard deviation is $6,000. Is there sufficient evidence to support the student's claim at a 5% significance level?

Preliminary:

1. Is it safe to assume that n5% of all college students in the local area?

• No
• Yes

1. Isn30?

• Yes
• No

Test the claim:

1. Determine the null and alternative hypotheses.Enter correct symbol and value.0

H0:=?

Ha:=?

>

<

=

Determine the test statistic.Round to two decimals.

t=

1. Find thep-value.Round to 4 decimals.
2. p-value =
3. Make a decision.

• Reject the null hypothesis.
• Fail to reject the null hypothesis.

1. Write the conclusion.

• There is sufficient evidence to support the claim that student-loan debt is higher than $25,235 in her area.
• There is not sufficient evidence to support the claim that student-loan debt is higher than $25,235 in her area.